Year 5 mathematics lesson plans (national curriculum)

ENG-NC-MA-Y5-001

read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit

ENG-NC-MA-Y5-002

count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000

ENG-NC-MA-Y5-003

interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0

ENG-NC-MA-Y5-004

round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000

ENG-NC-MA-Y5-005

solve number problems and practical problems that involve all of the above

ENG-NC-MA-Y5-006

read Roman numerals to 1,000 (M) and recognise years written in Roman numerals

ENG-NC-MA-Y5-007

add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

ENG-NC-MA-Y5-008

add and subtract numbers mentally with increasingly large numbers

ENG-NC-MA-Y5-009

use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

ENG-NC-MA-Y5-010

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

ENG-NC-MA-Y5-011

identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers

ENG-NC-MA-Y5-012

know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers

ENG-NC-MA-Y5-013

establish whether a number up to 100 is prime and recall prime numbers up to 19

ENG-NC-MA-Y5-014

multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers

ENG-NC-MA-Y5-015

multiply and divide numbers mentally, drawing upon known facts

ENG-NC-MA-Y5-016

divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

ENG-NC-MA-Y5-017

multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000

ENG-NC-MA-Y5-018

recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)

ENG-NC-MA-Y5-019

solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes

ENG-NC-MA-Y5-020

solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

ENG-NC-MA-Y5-021

solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

ENG-NC-MA-Y5-022

compare and order fractions whose denominators are all multiples of the same number

ENG-NC-MA-Y5-023

identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

ENG-NC-MA-Y5-024

recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, [Fraction:2/5]+[Fraction:4/5] = [Fraction:6/5] = 1 [Fraction:1/5] ]

ENG-NC-MA-Y5-025

add and subtract fractions with the same denominator, and denominators that are multiples of the same number

ENG-NC-MA-Y5-026

multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

ENG-NC-MA-Y5-027

read and write decimal numbers as fractions [for example, 0.71 = [Fraction:71/100] ]

ENG-NC-MA-Y5-028

recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

ENG-NC-MA-Y5-029

round decimals with 2 decimal places to the nearest whole number and to 1 decimal place

ENG-NC-MA-Y5-030

read, write, order and compare numbers with up to 3 decimal places

ENG-NC-MA-Y5-031

solve problems involving number up to 3 decimal places

ENG-NC-MA-Y5-032

recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction

ENG-NC-MA-Y5-033

solve problems which require knowing percentage and decimal equivalents of [Fraction:1/2], [Fraction:1/4], [Fraction:1/5], [Fraction:2/5], [Fraction:4/5] and those fractions with a denominator of a multiple of 10 or 25

ENG-NC-MA-Y5-034

convert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]

ENG-NC-MA-Y5-035

understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

ENG-NC-MA-Y5-036

measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

ENG-NC-MA-Y5-037

calculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapes

ENG-NC-MA-Y5-038

estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]

ENG-NC-MA-Y5-039

solve problems involving converting between units of time

ENG-NC-MA-Y5-040

use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling

ENG-NC-MA-Y5-041

identify 3-D shapes, including cubes and other cuboids, from 2-D representations

ENG-NC-MA-Y5-042

know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

ENG-NC-MA-Y5-043

draw given angles, and measure them in degrees (°)

ENG-NC-MA-Y5-044

identify:

ENG-NC-MA-Y5-045

identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed

ENG-NC-MA-Y5-046

solve comparison, sum and difference problems using information presented in a line graph

ENG-NC-MA-Y5-047

complete, read and interpret information in tables, including timetables